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Finding the Fourth Proportional to 3,397.64, 4,688.46 and 1,905.21

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Solution

The fourth proportional to 3,397.64, 4,688.46 and 1,905.21 is: 2,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.64 : 4,688.46 = 1,905.21 : x
  2. Step 2: Convert to fraction form
    3,397.64/4,688.46 = 1,905.21/x
  3. Step 3: Cross multiply
    3,397.64x = 4,688.46 × 1,905.21
  4. Step 4: Simplify right side
    3,397.64x = 8,932,500.88
  5. Step 5: Solve for x
    x = 8,932,500.88/3,397.64
  6. Step 6: Final answer
    x = 2,629.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.